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Finding the Fourth Proportional to 150,098.84, 224,986.26 and 97,546.04

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Solution

The fourth proportional to 150,098.84, 224,986.26 and 97,546.04 is: 146,213.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,098.84 : 224,986.26 = 97,546.04 : x
  2. Step 2: Convert to fraction form
    150,098.84/224,986.26 = 97,546.04/x
  3. Step 3: Cross multiply
    150,098.84x = 224,986.26 × 97,546.04
  4. Step 4: Simplify right side
    150,098.84x = 21,946,518,717.41
  5. Step 5: Solve for x
    x = 21,946,518,717.41/150,098.84
  6. Step 6: Final answer
    x = 146,213.78

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.